{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<!--BOOK_INFORMATION-->\n",
    "<img align=\"left\" style=\"padding-right:10px;\" src=\"figures/PDSH-cover-small.png\">\n",
    "\n",
    "*This notebook contains an excerpt from the [Python Data Science Handbook](http://shop.oreilly.com/product/0636920034919.do) by Jake VanderPlas; the content is available [on GitHub](https://github.com/jakevdp/PythonDataScienceHandbook).*\n",
    "\n",
    "*The text is released under the [CC-BY-NC-ND license](https://creativecommons.org/licenses/by-nc-nd/3.0/us/legalcode), and code is released under the [MIT license](https://opensource.org/licenses/MIT). If you find this content useful, please consider supporting the work by [buying the book](http://shop.oreilly.com/product/0636920034919.do)!*"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<!--NAVIGATION-->\n",
    "< [Text and Annotation](04.09-Text-and-Annotation.ipynb) | [Contents](Index.ipynb) | [Customizing Matplotlib: Configurations and Stylesheets](04.11-Settings-and-Stylesheets.ipynb) >\n",
    "\n",
    "<a href=\"https://colab.research.google.com/github/jakevdp/PythonDataScienceHandbook/blob/master/notebooks/04.10-Customizing-Ticks.ipynb\"><img align=\"left\" src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open in Colab\" title=\"Open and Execute in Google Colaboratory\"></a>\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Customizing Ticks"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Matplotlib's default tick locators and formatters are designed to be generally sufficient in many common situations, but are in no way optimal for every plot. This section will give several examples of adjusting the tick locations and formatting for the particular plot type you're interested in.\n",
    "\n",
    "Before we go into examples, it will be best for us to understand further the object hierarchy of Matplotlib plots.\n",
    "Matplotlib aims to have a Python object representing everything that appears on the plot: for example, recall that the ``figure`` is the bounding box within which plot elements appear.\n",
    "Each Matplotlib object can also act as a container of sub-objects: for example, each ``figure`` can contain one or more ``axes`` objects, each of which in turn contain other objects representing plot contents.\n",
    "\n",
    "The tick marks are no exception. Each ``axes`` has attributes ``xaxis`` and ``yaxis``, which in turn have attributes that contain all the properties of the lines, ticks, and labels that make up the axes."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Major and Minor Ticks\n",
    "\n",
    "Within each axis, there is the concept of a *major* tick mark, and a *minor* tick mark. As the names would imply, major ticks are usually bigger or more pronounced, while minor ticks are usually smaller. By default, Matplotlib rarely makes use of minor ticks, but one place you can see them is within logarithmic plots:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "plt.style.use('classic')\n",
    "%matplotlib inline\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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iRGbetM3z2xOQpBFNrCeQmScjYvemw3uAZzPz+cFkTrC2/XNmsPd/LCJeB9wbEb8LPNZk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\nEZCkGWYRkKQZZhGQpBlmEZCkGfZ/oG4thqPtPXkAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10346a438>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = plt.axes(xscale='log', yscale='log')\n",
    "ax.grid();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We see here that each major tick shows a large tickmark and a label, while each minor tick shows a smaller tickmark with no label.\n",
    "\n",
    "These tick properties—locations and labels—that is, can be customized by setting the ``formatter`` and ``locator`` objects of each axis. Let's examine these for the x axis of the just shown plot:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<matplotlib.ticker.LogLocator object at 0x10dbaf630>\n",
      "<matplotlib.ticker.LogLocator object at 0x10dba6e80>\n"
     ]
    }
   ],
   "source": [
    "print(ax.xaxis.get_major_locator())\n",
    "print(ax.xaxis.get_minor_locator())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<matplotlib.ticker.LogFormatterMathtext object at 0x10db8dbe0>\n",
      "<matplotlib.ticker.NullFormatter object at 0x10db9af60>\n"
     ]
    }
   ],
   "source": [
    "print(ax.xaxis.get_major_formatter())\n",
    "print(ax.xaxis.get_minor_formatter())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We see that both major and minor tick labels have their locations specified by a ``LogLocator`` (which makes sense for a logarithmic plot). Minor ticks, though, have their labels formatted by a ``NullFormatter``: this says that no labels will be shown.\n",
    "\n",
    "We'll now show a few examples of setting these locators and formatters for various plots."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Hiding Ticks or Labels\n",
    "\n",
    "Perhaps the most common tick/label formatting operation is the act of hiding ticks or labels.\n",
    "This can be done using ``plt.NullLocator()`` and ``plt.NullFormatter()``, as shown here:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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GRTecpO6F5mYaYj44qP6x45wukF90k4bdCMq0QWXeeGFkhKLCOXMqO3hknadcvRpNYKtt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\nAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x110a2b7f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = plt.axes()\n",
    "ax.plot(np.random.rand(50))\n",
    "\n",
    "ax.yaxis.set_major_locator(plt.NullLocator())\n",
    "ax.xaxis.set_major_formatter(plt.NullFormatter())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Notice that we've removed the labels (but kept the ticks/gridlines) from the x axis, and removed the ticks (and thus the labels as well) from the y axis.\n",
    "Having no ticks at all can be useful in many situations—for example, when you want to show a grid of images.\n",
    "For instance, consider the following figure, which includes images of different faces, an example often used in supervised machine learning problems (see, for example, [In-Depth: Support Vector Machines](05.07-Support-Vector-Machines.ipynb)):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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kZU5WRrArBJoix2R2b4whkJcZKFivXoyPmKJi6jz5ENi0LZtdLVjBMIBSFFUuLe5dS9u0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S5tk+s6TG9msoyqhbSOmtQ7slGsNWtEccij/hHttgzQ6+06vVMBeXbPJKFOb2dKGdY1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MqlqjPZxx+/Ye21dbdpiW2NxumI91QpzXu+5LBO9hvwf0/t6g1O7PaQiv5E2qDZVF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\ns7I4JVpHKCj4E5+mEf/76nxFlqQMp0OSKCFYhh3CGQQ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eh6YqKK6La1usNiGb+YY8zdFN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\ntV6C0st6WS/rz2q9BKWX9bJe1p/V+j8F2I3NFISt9gAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10dca2b70>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(5, 5, figsize=(5, 5))\n",
    "fig.subplots_adjust(hspace=0, wspace=0)\n",
    "\n",
    "# Get some face data from scikit-learn\n",
    "from sklearn.datasets import fetch_olivetti_faces\n",
    "faces = fetch_olivetti_faces().images\n",
    "\n",
    "for i in range(5):\n",
    "    for j in range(5):\n",
    "        ax[i, j].xaxis.set_major_locator(plt.NullLocator())\n",
    "        ax[i, j].yaxis.set_major_locator(plt.NullLocator())\n",
    "        ax[i, j].imshow(faces[10 * i + j], cmap=\"bone\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Notice that each image has its own axes, and we've set the locators to null because the tick values (pixel number in this case) do not convey relevant information for this particular visualization."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Reducing or Increasing the Number of Ticks\n",
    "\n",
    "One common problem with the default settings is that smaller subplots can end up with crowded labels.\n",
    "We can see this in the plot grid shown here:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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Nyxde8+mn7yZZ/g+4B3iy5Znzd7QP8GZmNngDXf7Pf7F786fNfJzbvPxJPp/ct1CamdmI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\nAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10dc82e10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(4, 4, sharex=True, sharey=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Particularly for the x ticks, the numbers nearly overlap and make them quite difficult to decipher.\n",
    "We can fix this with the ``plt.MaxNLocator()``, which allows us to specify the maximum number of ticks that will be displayed.\n",
    "Given this maximum number, Matplotlib will use internal logic to choose the particular tick locations:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x10dc82e10>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# For every axis, set the x and y major locator\n",
    "for axi in ax.flat:\n",
    "    axi.xaxis.set_major_locator(plt.MaxNLocator(3))\n",
    "    axi.yaxis.set_major_locator(plt.MaxNLocator(3))\n",
    "fig"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This makes things much cleaner. If you want even more control over the locations of regularly-spaced ticks, you might also use ``plt.MultipleLocator``, which we'll discuss in the following section."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Fancy Tick Formats\n",
    "\n",
    "Matplotlib's default tick formatting can leave a lot to be desired: it works well as a broad default, but sometimes you'd like do do something more.\n",
    "Consider this plot of a sine and a cosine:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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P/p2v/WhhrPPc9OwJrFtnHE4gJgbo2BE4eTL/+1I1ef/2G/D668a+x35+sh9p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\nTn1sgejMg5O3hrT1aYtDbx0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mCoQxxlje8e3xGnDt2jW1Q9Asbhtl3DbKbKFtivT2+CJ5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\neTPGmBX6f/hhxZChns1rAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1152f8a58>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot a sine and cosine curve\n",
    "fig, ax = plt.subplots()\n",
    "x = np.linspace(0, 3 * np.pi, 1000)\n",
    "ax.plot(x, np.sin(x), lw=3, label='Sine')\n",
    "ax.plot(x, np.cos(x), lw=3, label='Cosine')\n",
    "\n",
    "# Set up grid, legend, and limits\n",
    "ax.grid(True)\n",
    "ax.legend(frameon=False)\n",
    "ax.axis('equal')\n",
    "ax.set_xlim(0, 3 * np.pi);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "There are a couple changes we might like to make. First, it's more natural for this data to space the ticks and grid lines in multiples of $\\pi$. We can do this by setting a ``MultipleLocator``, which locates ticks at a multiple of the number you provide. For good measure, we'll add both major and minor ticks in multiples of $\\pi/4$:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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dvniYVlGtnIbeT/kxoccErzP06em3di20b59s6ENDjeFxl6EHqFOqDssGLKN8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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1152f8a58>"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ax.xaxis.set_major_locator(plt.MultipleLocator(np.pi / 2))\n",
    "ax.xaxis.set_minor_locator(plt.MultipleLocator(np.pi / 4))\n",
    "fig"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "But now these tick labels look a little bit silly: we can see that they are multiples of $\\pi$, but the decimal representation does not immediately convey this.\n",
    "To fix this, we can change the tick formatter. There's no built-in formatter for what we want to do, so we'll instead use ``plt.FuncFormatter``, which accepts a user-defined function giving fine-grained control over the tick outputs:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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9MvWxK3wXKnhWAAAkpycjbGkYVp5bmeNjHOm92bMnsH69aQiGe/eADh2AU6eU\nfR5VE/svvwBvvmnqWx0YKPvJlimjZqukTtU6YcPADSjmKo/A/af3ERwRjON3j6vcMmW8+658/Q11\nv6goICQEePAg98cVFpfjLqNdRDtcjZczKbg4uWBZn2UYFDhI5ZYpY/9+oFMn2V8dkBNK7NhhH1NH\n1ipdC3uG7UGAdwAAIFWfir5/9MXS00vVbZhCQkPleE6ennL5wQP52ct8v461VCvFzJljfjEvKAjY\ntk2+wezJvpv78PLil5GQLD8B3kW8sXnQZjSr0EzllikjIsL8j2u9evKszc9P1Wap6kLMBYQsCMGd\nx3cAyMGsVry+Aj1q9VC5ZcqIjARefhl48kQuly4tj3lgoLrtet6thFsIXRBqnFPVSThhYe+FeKPB\nGyq3TBn79wNdu5r+uJYsKXNg5ol0AAea8/THH+VcnQb2XuM9fPswOi/qjIdJ8jurl7sXNg3chJb+\nKn5nVdCiReblsNq15dlbuXLqtksN52POo8P8Doh+IocwLOJSBKv7rUaX6l1Ubpkydu+Wd5Q+fSqX\nfX3lsbbXidHvPbmHkAUhOPvgLICMcljYAgwMHKhyy5Rx6JC8xmGY3tLbWyb3Jk1M2zhEjf0//zFP\n6k2bykDsNakDQNMKTbFjyA6UKiq/TiQkJ6Dzos6IvGGaXdqR6nzPGzRIJnfDsMfnzwPBwcDt26Zt\nHDm+FzHEdu7BOQRHBBuTejHXYtg4cKPDJ3VDfDqdPFM3JHU/P7nOXpM6APgV98POoTtRz1deXdST\nHkNWD8Gik4uM2zjye7NZM5n/vL3l8sOHslRz6FDuj3sRRRK7EKKrEOK8EOKiEOLznLb77jtgjGlK\nRDRvLs/UfXyUaIVtNSrXCLpwHXw95EAZT1KeoOuirth1bZfKLVPGgAHA0qUwTvp98aJM7rduqdqs\nAnP2wVkEzw829sYwJPXggGB1G6aQ7dvlmbrhHpFy5WRSr1tX1WblSZliZbBz6E7jGDx60mPIqiFY\neGKhyi1TxksvyeNjyIOPHsnrHwcO5P643FhdihFCOAG4CCAUwB0AhwH0J6Lzz21HgOm5WrUCNm6E\nzWcwV9rZB2cRMj/EmACKuhTFujfWmQ0o5shWrgT69ZOThANA1aryJrFKldRtly2duX8GIQtCjINQ\nFXcrjo0DN6JNpTYqt0wZW7fK3hiGyWnKl5fHtGZNddtlqQdPHyB0QShO3ZddSAQEIsIiMKThEJVb\npoyoKNnyGFUzAAAc10lEQVRLKTZWLnt6Aps2Aa1bq1OKaQbgEhFdJ6JUAEsB9MrtAW3ayAY7WlIH\ngLq+daEL16FccVmATkxLRPcl3bHlyhaVW6aMV1+VdwC7usrlq1flSHU2vUtORafvn0aH+R3Mkvqm\ngZs0k9Q3bwZ69DAl9YoVgV27HC+pA4BvMV9sH7IdgX7yKi+BEL46HPOj5qvcMmUEBcnrHaVLy+XH\nj4Eu+awCKpHYKwC4mWn5Vsa6bLVrJ8/UDV19HFHt0rXN+tompSXhlcmvYOOljSq3TBm9eskzd8PQ\nyNeuAc2b63D1qqrNUtzp+6cRMj8ED87IPp6GpN66UmuVW6aMDRvksUxO1gGQ94bodHI6RUdlSO4N\n/RoCyEjus8I1MdUeIHsm7dxp6vJt6LlkqQK9eOrnF47Wrb/C9OlfYdasWWYXPXQ6nUMt3z51G99U\n/waVSsgaRertVPSc2hPrLq6zi/ZZu1y8uA4TJujg7i6X79+PQosWOuM8qmq3z9rleSvnofX/tcaD\nZzKpF71VFFOqTTEmdbXbZ+3ylCk69Oqly3SHow7ffKNDtWr20T5rlkt7lMaEgAmo9qia8fdvfv8m\nPpv7mV20z9rlmBgdWrQIh7t7OICvkB9K1NhbAPiKiLpmLI+FHNvgm+e2o6dPCR4eVj2d3bn28Bo6\nzO9gHCzM1ckVy19fjrDaYeo2TCGbNwNhYaav8hUqyDOKGjXUbZc1Tt47iZD5IYhNlMVMTzdPbB60\nWTPdV9esAV5/HUhNlctVqshjVrmyuu1SWuyzWHRa2AnHo+VNg1ob7uHMGXnj0v37KvRjF0I4A7gA\nefH0LoBDAAYQ0bnntstxrBhHd+PRDXSY38HsLsXfX/sdfer2Ubllyti2zbxOW66cTBS1aqnbrvw4\nEX0CoQtCjUndy90LmwdtRouKLVRumTIK28XvuMQ4dFzQ0ZjcAWBuj7l4q/FbKrZKOXfuABUqqHDx\nlIjSAYwGsAXAGQBLn0/qWlepRCVMrTYVNUrK09g0fRr6r+iPZaeXqdwyZXTsCHz9tQ5F5dA5uHtX\ndoU852BHOSo6KktS3zJoC5IuJ6ncMmX88YccYMqQ1GvUkBdKr17VqdouWypZtCS+CvgKjcuZxkIY\nsXYEfj76s4qtUk758vl7nCI1diLaRES1iKgGEU1VYp+OxreYL3ThOtQqJU9j0ykdb6x8A4tPLla5\nZcpo3Fhe9DYMXhQdLZP7mTOqNivPjt89bpbUS7iXwNbBW9G8YnOVW6aMpUvlvQjp6XK5Zk1Ap5O9\nYLTOy90L2wZvQ5Nypts13173NuYcmaNiq9RlF8P2akn0k2iELgg13gItIPBbr98wNGioyi1Txp49\n8kYXw9V6X195c0WDBuq2KzeGpB6fFA/AlNSbVmiqcsuUsXgxMGQIDwkRnxiPzos648idI8Z133f9\nHu83f1/FVlnPIYYU0Lqyxcua3SVHIAxbMwzzjs9TuWXKaNtW3oOQeWS6Dh2UHZlOSYduH0LIghBj\nUvcu4o1tQ7ZpJqkvWAAMHmxK6nXryjP1wpbUAcCnqI/8g13edGzHbBqDaXunqdgqdXBiV0jmrkuG\nW6Az97Ud/tdwh677ZY6vdWtgyxbTDWaxsfLq/XE7G9F4z/U96Ligo3HwNu8i3tg2eBteKv+S2XaZ\nY3Mkv/0mJ6gxfBFu0EBeKH1+ZE5HjS+vMsfnXcQbWwdvRSv/VsZ1n2/7HP/e9W8UhoqBASd2Gynt\nURo7hu4wu6jz9rq38eOhH3N5lONo0ULeql6ihFyOi5PJ/ehRddtlsO3qNnRZ1AWPU+SkrqWKlsL2\nIdvRpHyTFzzSMfz8s/lwyw0b2s9cBmorUaQENg/abDbOz5e6L/HP7f8sNMmda+w2Fp8Yjy6LuuDw\nncPGdbO6zMKYFmNyeZTjOHJEDlhkmIWnRAl5Nt9MxeHq111chz7L+xinNvQr5oftQ7ajXplc5h9z\nIN9+KydINmjUSP6Rtbe5DNT2LPUZei/rbTbcx5jmY/Bdl+8ghEUla1Vxjd0OGep+mftJf7D5A8zY\nN0PFViknu5HpOnaU3ezU8MeZP9B7WW9jUq/oVRG7h+3WRFInAr74wjypv/SSfU5QYw88XD3wV/+/\n0KOmaYKU7w9+j3+s/wf0pFexZbbHiV0hudUxDV8NW/ubxiD5ZOsn+CbymxwfY29yi69xY1kGMCQX\nw+BFf/1VMG0zWHhiIfr/2R9petmRu4p3FewZtgc1S9XM9XGOUIPW6+WQ119/bVrXvr38o/qiuQwc\nIT5r5Bafu4s7VvRdYXaz4JyjczBszTCkpqcWQOvUwYm9gHi5e2HToE1oV7mdcd3Y7WM1U/cLCjLv\njZGcLEeKXLCgYJ7/u/3fYcjqIcYzsVqlzOfNdGRpabKe/sMPpnXduzvmsNdqcHN2w++v/W42X+2C\nEwvQe1lvPEt9pmLLbIdr7AXsacpT9Pi9B3Ze22lcNyxoGH7u8TNcnFxUbJky/v5b1twNg4UBcoKV\nDz6wzfMREcZuG4tp+0xd2hqUaYCtg7fCr7jjT9yamAgMHAisWmVa17cvsHChafRNljfp+nT8Y/0/\nMPfYXOO6Vv6tsHbAWpQsar9TuDnMnKeF3bPUZ+i3op9xJEgA6F6jO5a/vhwero4/Slp0tCzFnDxp\nWvfFF8C//w0oec0qNT0VI9aOwPwTpvG4W/u3xtoBa+FT1AGm5XqBuDg5QcbevaZ1b70F/O9/ppmu\nmGWICF/s+AKTIycb19X1rYvNgzajopd93qbLF09VZEkd08PVA6v6rcKbQW8a162/tF7e8v4s1gat\ns54l8ZUtKy+ets40rPmkSbKckJKiTHuepjxF2LIws6Tes1ZPbB281eKkbo816GvX5OuXOal//LHs\n5mhpUrfH+JRkSXxCCHwd+jW+7/q9cd3ZB2fR6tdWOPfAwQY/ygUndpW4OLngl56/YHzb8cZ1B24d\nQJvf2uDv+L9VbJkyvL1lt8du3UzrIiLkZMqGrpH5de/JPYQuCMWGSxuM64Y3Go4/+/6Joq5Frdu5\nHTh+HGjZUk4qbjBzJjB9urLfeAqz95u/j99f+x2uTnKqsJsJN9HmtzbYfX23yi1TBpdi7MDsQ7Px\n/sb3QRlzwpb2KI1V/VZpYnq21FTg7bflXZIGdesC69cDAQGW7+/UvVN45fdXcOPRDeO68W3HY2KH\niQ7VNzknmzbJsdQNY/G4ucl6et++6rZLq7Ze2Yrey3rjaepTAHI+hZ97/IzwoHB1G5YJl2Ic1Ohm\no7GszzK4OcurYTHPYhC6IBQLThRQlxIbcnUFfv1VlmIMzp6Vd64eOmTZvtZfXI9W81oZk7qTcMLs\nl2djUsgkh0/qRPKsvHt3U1I3fOvhpG47nap1ws6hO+FXTF5oT9WnYtiaYRi7baxD93XnxK4Qa+uY\nr9d7HTuH7oSvhy8AICU9BUNXD8W4bePs4g1mTXxCAOPHA0uWmHpy3Lsn+2HnpTskEWHWgVnoubQn\nnqTIrOfp5ol1A9ZhVLNR+W6Xgdo16ORkef3h449Ng3n5+wORkfI1spba8dmatfE1rdAUh0YcMk6S\nDQDf7P0GfZb3wdOUp1a2Th2c2O1IK/9WODzisHFkSACYuncqev7eE/GJ8Sq2TBkDBpjfUJOUBAwd\nCrz/vmkat+c9S32GIauH4MPNHxr/wFUuURn7hu/DyzVeLqCW2050tBwdMyLCtK5lS/ltpp7j3yzr\nMCqVqITIYZF4peYrxnWrzq9Ci19b4GLsRRVblj9cY7dDj5MfY8CfA7D+0nrjugDvAKx4fYUmBrG6\ndEnOo3r2rGld27ZyBqDMIxNeir2E15a/hlP3TxnXtazYEqv7r0aZYo4/2pVOJ//YRUeb1oWHy+6M\nhknEWcFK16fjs62fYeaBmcZ1nm6eiAiLwKt1XlWlTVxj1whPd0+s6b8Gn7b61Lju2sNraD2vNX4+\n+rPD36laowZw4ADw2mumdXv2yMGsduyQy6vOrcJLc18yS+rDGw3HjqE7HD6p6/XA5MlAaKgpqTs5\nyRr7vHmc1NXk7OSMGV1mYF7PeSjiUgQA8DjlMV5b/ho+3fKpcbgKe8eJXSFK1zGdnZwxrdM0rOy7\nEl7u8r7x5PRkvL3ubQxcObDASzNKx+fpKc/Qp0wxdeG7excI7foMjf/vXby6/FUkJCcAANyd3fFL\nj1/wS89fjB82JRVkDTo6Wl4gHT/eVE/39ZW9YT780DbdGbnGbrlhjYZh35v7UMW7inHd9P3T0WZe\nG1yOu6z48ymNE7ud612nN46MOGJ2Yef3078j8H+B2H51u4ots54QwNixMqn5+gIofwR4uxGOO/9k\n3KaKdxXsG74PwxsPV6+hClmxAqhfX8Zr0LYtEBUlh2Fg9qVRuUY4OvKoWd394O2DCPpfEH459otd\nf3PmGruDeJb6DO9teA/zosyn2Pug+Qf4OvRrhx6KICU9BeM3TsWMwxNBTqavuk4XemNCk18x7gMf\nh76FPj4eeO89OTdpZuPGyWEWXBx/iCBN05Me3+79Fl/s/MKsFNOzVk/81P0nlPcsb9Pn57FiCoFV\n51Zh5LqRiHkWY1wX4B2AH7v9iG41uuXySPsUeSMSI9eOxLmYTLdzJxcHNv4HiAoHINCsmewLX79+\nTnuxT0TA0qXARx+ZXyD195c3bIWGqtc2Zrljd49h4MqBOB9juiXYy90LU0Kn4O0mb8PZyTZnH3zx\nVEUFVcfsXac3Tv3jFLrX6G5cd+3hNXRf0h2v//E6bj66aZPnVTq+B08fYOTakWj7W1uzpN7KvxVW\ndz2BQP0wAPK9fOiQvLD68cfWD0eQHVscu/Pn5YQjb7xhntSHDgVOnSrYpM41dmU0LtcYR0cexeim\no43rEpITMGrDKLSe1xpH79jJvJDgxO6QyhYvi7UD1uLXnr+aDTe64uwK1JxdE+O2jTNO4GxvnqU+\nw+Q9k1HtP9XMhk8t7lYcs7rMwq7wXejVriqOHAEmTjTd0JSWJnuN1KghuwOm2WnnhHv3ZNklMNDU\nwweQ49SvXCn7qxvmiWWOx8PVAz90+wE7h+40m8Dl4O2DeGnuSxi8arDZcBdq4VKMg3vw9AE+3fqp\n2SiHAFCyaEn8s80/8fZLb6O4W3GVWmeSlJaEiKgIfL3na9xKuGX2u561emL2y7PhX8I/y+POnpVj\nzURGmq+vXl32LBk4UA5boLaHD+UfnpkzgaeZblZ0cpI3YE2YwJNiaE1SWhKm7JmCKZFTkKo33WHn\n7uyOUU1H4eNWHytSf+caeyG269oufLTlIxy7e8xsvU8RH4xuNhrvNXsPvsV8C7xdD5MeYu7RuZh5\nYCain0Sb/a526dr4ttO36F6je65jvRDJrpGffQZcv27+uypV5PpBg4DiKvz9unYN+P574JdfTGO8\nGLRpI2c9Cgoq+HaxgnMh5gLGbh+L1edXm613c3bDkMAh+LT1py+cnjE3BZ7YhRB9AHwFoA6ApkR0\nLJdtNZ3YdTodgoODVW2DnvRYdnoZxu8Yj78fmg/96+bshrDaYRjeaDg6Vu0IJ2FZFc6S+IgIB24d\nwJyjc7D8zHIkpiWa/d6vmB8mBE/A8MbDLZo1KjFRzsb07bdZa+2ensCQIXIiioYNLesPbumxS0mR\no1NGRMh/09PNf9+ggeyf362bfQyzaw/vTVuyl/h2X9+NT7Z8gsN3Dmf5XUiVELzV6C30rtPb4nsx\n1EjstQDoAcwB8Akn9mC1mwEASE5Lxm9Rv2H6vum4En8ly+/Le5ZHr1q9EFY7DMEBwcZRJXPzovhS\n01Nx4NYBrDq/CivPrcT1R9ezbFPeszw+afkJRjQZYVV56NEjYPZsWfaIi8v6+5o15dC3vXrJi64v\n6k6Yl2P39CmwbRuwdi2wZg0QE5N1m3r1ZBfGAQNkCcZe2NN70xbsKT496bH+4npMiZyC/bf2Z/m9\nl7sXutfojrDaYehavavx5sPcqFaKEULsBPBxYU7s9ihdn44/z/2Jmftn4uDtg9luU8SlCJqWb4rW\n/q3RuFxj1CxVE9VLVkcxt2I57jclPQWX4y7jfMx5nLx3EpE3IrH/1v4cJwYO9AvE6KajMaThELi7\nKHe//OPHshvkTz8BF3MYp8nLC2jXTg4TXK+e/AkIyL0un5AAXL0qe7YcPCh/jh7NefankBDgk0+A\nrl3t4wydqY+IsOfGHny771tsuLQh2xFanYQTGvo1RGv/1mhWoRlqlqqJGqVqZJl/lRM7y9Gpe6fw\n6/FfsejkIsQmvnj6Pe8i3vAp4oMSRUpAQEBPejxLfYYHzx7kqcdNCfcS6FO3D0Y2GYmm5ZvadLx0\nImDnTmDuXHlG/TQPI62WLAmUKSN73bi4yF42jx7JEs+jRy9+fMWKsuvi0KGypw5jObmVcAsRURGY\nd3xelhJpdjzdPOFT1Ac+RXxQxKUIDo44qHxiF0JsBZB5uncBgACMJ6K1GdsU+sRuT18Hc5OmT0Pk\njUisOb8G6y6ty/u4F38DqJL7JpVKVEKXal3wWp3X0KFKhzyVeJSWmChv2V+1SnY3vH07L4/SAQh+\n4VYNGgCvvAL06AE0a+Y4E0o7ynszvxwlPiLCiXsnsOb8Gqy5sAZR0VHGWdNy9RUsTuwvvHJFRIqN\nYhEeHo6AjPnQvL29ERQUZDwghpsMHHU5KirKrtqT23JwQDBwDejVoBdqNamFfTf3Yfn65bjx6Abi\nysbhavxVpF3J6ChuSOaGDi1V5FfI0vdLo3KJymjdtjWaVmgK5+vO8CvuZxfx9e4N+PjoMGwY4O8f\njN27gQ0bdPj7b+Du3WBERwNEuoyAgjP+NS27uwNlyuhQvjzQsWMwWrQAUlN18PGxj+PHy469HFQ2\nCO3RHk+qPIFrVVfsvbkXOp0OtxJuIbp0NBIvJQIynQDeyBclSzGfEFGOt15p/YxdS9L16YhPikd8\nYjweJT+CgICTcIK7izvKFCsDnyI+Nrt9uiCkpcmLnzExcoKP9HR5sbNECTkdnY+PfV38ZIWHnvRI\nSE5AfGI84pPikZKegpb+LQu8V0wYgB8AlAbwEEAUEWU7rQ0ndsYYs1yBjxVDRKuJyJ+IihJRuZyS\nemFg+KqlVVqOT8uxARxfYcRfOBljTGN4SAHGGLNjPGwvY4wxTuxK0XqdT8vxaTk2gOMrjDixM8aY\nxnCNnTHG7BjX2BljjHFiV4rW63xajk/LsQEcX2HEiZ0xxjSGa+yMMWbHuMbOGGOME7tStF7n03J8\nWo4N4PgKI07sjDGmMVxjZ4wxO8Y1dsYYY5zYlaL1Op+W49NybADHVxhxYmeMMY3hGjtjjNkxrrEz\nxhjjxK4Urdf5tByflmMDOL7CiBM7Y4xpDNfYGWPMjnGNnTHGGCd2pWi9zqfl+LQcG8DxFUac2Blj\nTGO4xs4YY3aMa+yMMcasS+xCiGlCiHNCiCghxJ9CCC+lGuZotF7n03J8Wo4N4PgKI2vP2LcAqEdE\nQQAuARhnfZMYY4xZQ7EauxAiDMBrRDQ4h99zjZ0xxiykdo39TQAbFdwfY4yxfHB50QZCiK0A/DKv\nAkAAxhPR2oxtxgNIJaIlue0rPDwcAQEBAABvb28EBQUhODgYgKlO5qjLs2bN0lQ8hSm+zDVae2gP\nx1e449PpdIiIiAAAY760lNWlGCFEOIARAEKIKDmX7TRditHpdMaDpEVajk/LsQEcn6PLTynGqsQu\nhOgKYAaAdkQU+4JtNZ3YGWPMFtRI7JcAuAEwJPUDRPRuDttyYmeMMQsV+MVTIqpBRJWJqHHGT7ZJ\nvTDIXOfTIi3Hp+XYAI6vMOI7TxljTGN4rBjGGLNjavdjZ4wxZgc4sStE63U+Lcen5dgAjq8w4sTO\nGGMawzV2xhizY1xjZ4wxxoldKVqv82k5Pi3HBnB8hREndsYY0xiusTPGmB3jGjtjjDFO7ErRep1P\ny/FpOTaA4yuMOLEzxpjGcI2dMcbsGNfYGWOMcWJXitbrfFqOT8uxARxfYcSJnTHGNIZr7IwxZse4\nxs4YY4wTu1K0XufTcnxajg3g+AojTuyMMaYxXGNnjDE7xjV2xhhjnNiVovU6n5bj03JsAMdXGHFi\nZ4wxjeEaO2OM2bECr7ELIf4thDghhDguhNgkhChrzf4YY4xZz9pSzDQiakhEjQCsB/ClAm1ySFqv\n82k5Pi3HBnB8hZFViZ2InmRaLAZAb11zGGOMWcvqGrsQYhKAIQAeAuhARLE5bMc1dsYYs1B+auwv\nTOxCiK0A/DKvAkAAxhPR2kzbfQ6gKBF9lcN+OLEzxpiF8pPYXV60ARF1yuO+lgDYAOCrnDYIDw9H\nQEAAAMDb2xtBQUEIDg4GYKqTOeryrFmzNBVPYYovc43WHtrD8RXu+HQ6HSIiIgDAmC8tRkT5/gFQ\nPdP/3wOwPJdtScu+++47tZtgU1qOT8uxEXF8ji4jd1qUm194xv4CU4UQNSEvml4H8I6V+3NYDx8+\nVLsJNqXl+LQcG8DxFUbW9orpQ0SBRBR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      "text/plain": [
       "<matplotlib.figure.Figure at 0x1152f8a58>"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "def format_func(value, tick_number):\n",
    "    # find number of multiples of pi/2\n",
    "    N = int(np.round(2 * value / np.pi))\n",
    "    if N == 0:\n",
    "        return \"0\"\n",
    "    elif N == 1:\n",
    "        return r\"$\\pi/2$\"\n",
    "    elif N == 2:\n",
    "        return r\"$\\pi$\"\n",
    "    elif N % 2 > 0:\n",
    "        return r\"${0}\\pi/2$\".format(N)\n",
    "    else:\n",
    "        return r\"${0}\\pi$\".format(N // 2)\n",
    "\n",
    "ax.xaxis.set_major_formatter(plt.FuncFormatter(format_func))\n",
    "fig"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This is much better! Notice that we've made use of Matplotlib's LaTeX support, specified by enclosing the string within dollar signs. This is very convenient for display of mathematical symbols and formulae: in this case, ``\"$\\pi$\"`` is rendered as the Greek character $\\pi$.\n",
    "\n",
    "The ``plt.FuncFormatter()`` offers extremely fine-grained control over the appearance of your plot ticks, and comes in very handy when preparing plots for presentation or publication."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Summary of Formatters and Locators\n",
    "\n",
    "We've mentioned a couple of the available formatters and locators.\n",
    "We'll conclude this section by briefly listing all the built-in locator and formatter options. For more information on any of these, refer to the docstrings or to the Matplotlib online documentaion.\n",
    "Each of the following is available in the ``plt`` namespace:\n",
    "\n",
    "Locator class        | Description\n",
    "---------------------|-------------\n",
    "``NullLocator``      | No ticks\n",
    "``FixedLocator``     | Tick locations are fixed\n",
    "``IndexLocator``     | Locator for index plots (e.g., where x = range(len(y)))\n",
    "``LinearLocator``    | Evenly spaced ticks from min to max\n",
    "``LogLocator``       | Logarithmically ticks from min to max\n",
    "``MultipleLocator``  | Ticks and range are a multiple of base\n",
    "``MaxNLocator``      | Finds up to a max number of ticks at nice locations\n",
    "``AutoLocator``      | (Default.) MaxNLocator with simple defaults.\n",
    "``AutoMinorLocator`` | Locator for minor ticks\n",
    "\n",
    "Formatter Class       | Description\n",
    "----------------------|---------------\n",
    "``NullFormatter``     | No labels on the ticks\n",
    "``IndexFormatter``    | Set the strings from a list of labels\n",
    "``FixedFormatter``    | Set the strings manually for the labels\n",
    "``FuncFormatter``     | User-defined function sets the labels\n",
    "``FormatStrFormatter``| Use a format string for each value\n",
    "``ScalarFormatter``   | (Default.) Formatter for scalar values\n",
    "``LogFormatter``      | Default formatter for log axes\n",
    "\n",
    "We'll see further examples of these through the remainder of the book."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<!--NAVIGATION-->\n",
    "< [Text and Annotation](04.09-Text-and-Annotation.ipynb) | [Contents](Index.ipynb) | [Customizing Matplotlib: Configurations and Stylesheets](04.11-Settings-and-Stylesheets.ipynb) >\n",
    "\n",
    "<a href=\"https://colab.research.google.com/github/jakevdp/PythonDataScienceHandbook/blob/master/notebooks/04.10-Customizing-Ticks.ipynb\"><img align=\"left\" src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open in Colab\" title=\"Open and Execute in Google Colaboratory\"></a>\n"
   ]
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
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   "codemirror_mode": {
    "name": "ipython",
    "version": 3
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   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
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